Convergence of Bayesian Control Rule

Details Convergence of Bayesian Control Rule Convergence of Bayesian Control Rule

2010-02-16

arxiv.org/abs/1002.3086v1

Computer Science

Artificial Intelligence

8 pages, 7 figures

Scientific paper

Recently, new approaches to adaptive control have sought to reformulate the problem as a minimization of a relative entropy criterion to obtain tractable solutions. In particular, it has been shown that minimizing the expected deviation from the causal input-output dependencies of the true plant leads to a new promising stochastic control rule called the Bayesian control rule. This work proves the convergence of the Bayesian control rule under two sufficient assumptions: boundedness, which is an ergodicity condition; and consistency, which is an instantiation of the sure-thing principle.

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